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Finding the Fourth Proportional to 287,843.40, 397,227.78 and 166,991.40

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Solution

The fourth proportional to 287,843.40, 397,227.78 and 166,991.40 is: 230,450.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,843.40 : 397,227.78 = 166,991.40 : x
  2. Step 2: Convert to fraction form
    287,843.40/397,227.78 = 166,991.40/x
  3. Step 3: Cross multiply
    287,843.40x = 397,227.78 × 166,991.40
  4. Step 4: Simplify right side
    287,843.40x = 66,333,623,101.09
  5. Step 5: Solve for x
    x = 66,333,623,101.09/287,843.40
  6. Step 6: Final answer
    x = 230,450.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.